Find the sum of the finite geometric series

6 - 4 + 8/3 - 16/9 + 32/17

The sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416

Step-by-step explanation:

We need to find the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17

The formula used to find sum of geometric series is

where a is 1st term, n is number of terms and r is common ratio

so, in the given geometric series 6 - 4 + 8/3 - 16/9 + 32/17 we have

First Term a=6

Common ratio r= -0.6

Number of terms n= 5

Putting values in formula to find sum of given geometric series

So, the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416